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arXiv · 1404.7838

Simply connected varieties in characteristic $p>0$

Hélène Esnault·Vasudevan Srinivas
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Abstract

We show that there are no non-trivial stratified bundles over a smooth simply connected quasi-projective variety over the algebraic closure of a finite field, if the variety admits a normal projective compactification with boundary locus of codimension $\ge 2$. In the appendix, various strong forms of the Lefschetz LEF are proven. Final version, to appear in Compositio.

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Hélène Esnault, Vasudevan Srinivas. 2014-04-30. Simply connected varieties in characteristic $p>0$. https://doi.org/10.1112/s0010437x15007654

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